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13201506779661 = 34179587150893
BaseRepresentation
bin1100000000011011011100…
…0111110100001000001101
31201202001101201001112220000
43000012313013310020031
53212243141213422121
644024404414114513
72531530434101124
oct300066707641015
951661351045800
1013201506779661
11422a800461842
121592659aaba39
13749b87201695
14338d56292abb
1517d605044526
hexc01b71f420d

13201506779661 has 20 divisors (see below), whose sum is σ = 20880814647132. Its totient is φ = 8283298370688.

The previous prime is 13201506779641. The next prime is 13201506779663. The reversal of 13201506779661 is 16697760510231.

13201506779661 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 506 + 7 + 79 + 6 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11626695122436 + 1574811657225 = 3409794^2 + 1254915^2 .

It is not a de Polignac number, because 13201506779661 - 225 = 13201473225229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13201506779598 and 13201506779607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201506779663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4793574070 + ... + 4793576823.

Almost surely, 213201506779661 is an apocalyptic number.

It is an amenable number.

13201506779661 is a deficient number, since it is larger than the sum of its proper divisors (7679307867471).

13201506779661 is an equidigital number, since it uses as much as digits as its factorization.

13201506779661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9587150922 (or 9587150913 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 13201506779661 in words is "thirteen trillion, two hundred one billion, five hundred six million, seven hundred seventy-nine thousand, six hundred sixty-one".

Divisors: 1 3 9 17 27 51 81 153 459 1377 9587150893 28761452679 86284358037 162981565181 258853074111 488944695543 776559222333 1466834086629 4400502259887 13201506779661